Institute of Mathematics

Talk

Modul:   MAT760  Ergodic Theory and Dynamical Systems Seminar

Dimension of invariant measures for affine iterated function systems

Dr. Feng De-Jun talk

Speaker invited by: Prof. Dr. Alexander Gorodnik

Date: 20.05.19  Time: 14.00 - 15.00  Room: ETH HG G 43

Iterated function system (IFS) is a broad scheme for generating fractal sets and measures. In this talk, we discuss the dimensional properties of certain fractal measures associated with affine IFS. We prove the exact dimensionality of ergodic stationary measures for any average-contractive affine IFS. Applications are given to the dimensions of self-affine sets, as well as their projections and slices.